An application of the finite element method for solving the system of partial differential equations
An application of the finite volume method to the bio-heat-transfer-equation in premature infants.
An application of the induction method of V. Pták to the study of regula falsi
In this paper we introduce the notion of "-dimensional rate of convergence" which generalizes the notion of rate of convergence introduced by V. Pták. Using this notion we give a generalization of the Induction Theorem of V. Pták, which may constitute a basis for the study of the iterative procedures of the form , . As an illustration we apply these results to the study of the convergence of the secant method, obtaining sharp estimates for the errors at each step of the iterative procedure.
An approach of the Naive Bayes classifier for the document classification.
An approach to robust network design in telecommunications
In telecommunications network design, one of the most frequent problems is to adjust the capacity on the links of the network in order to satisfy a set of requirements. In the past, these requirements were demands based on historical data and/or demographic predictions. Nowadays, because of new technology development and customer movement due to competitiveness, the demands present considerable variability. Thus, network robustness w.r.t demand uncertainty is now regarded as a major consideration....
An approximate necessary condition for the optimal bandwidth selector in kernel density estimation
An approximate necessary condition for the optimal bandwidth choice is derived. This condition is used to construct an iterative bandwidth selector. The algorithm is based on resampling and step-wise fitting the bandwidth to the density estimator from the previous iteration. Examples show fast convergence of the algorithm to the bandwidth value which is surprisingly close to the optimal one no matter what is the initial knowledge on the unknown density.
An approximate nonlinear projection scheme for a combustion model
The paper deals with the numerical resolution of the convection-diffusion system which arises when modeling combustion for turbulent flow. The considered model is of compressible turbulent reacting type where the turbulence-chemistry interactions are governed by additional balance equations. The system of PDE’s, that governs such a model, turns out to be in non-conservation form and usual numerical approaches grossly fail in the capture of viscous shock layers. Put in other words, classical finite...
An approximate nonlinear projection scheme for a combustion model
The paper deals with the numerical resolution of the convection-diffusion system which arises when modeling combustion for turbulent flow. The considered model is of compressible turbulent reacting type where the turbulence-chemistry interactions are governed by additional balance equations. The system of PDE's, that governs such a model, turns out to be in non-conservation form and usual numerical approaches grossly fail in the capture of viscous shock layers. Put in other words, classical finite...
An approximate solution of some Volterra integral equation with a smooth kernel
The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
An approximation for the zeros of Bessel functions.
An approximation method for continuous pseudocontractive mappings.
An approximation of tabulated function.
An approximation scheme for the optimal control of diffusion processes
An Approximation Technique for the Numerical Solution of a Stefan Problem.
An Approximation Theorem for Second-Order Evolution Equations.
An approximation to solution of space and time fractional telegraph equations by He's variational iteration method.
An approximative method for solving the non-linear optimal control problem
An approximative solution of the generalized eigenvalue problem
An Asymptotic Expansion for Product Integration Applied to Cauchy Principal Value Integrals.
An Asymptotic Finite Element Method for Improvement of Solutions of Boundary Layer Problems.